The Academic AlgebraThompson, Brown, 1889 - 414 páginas |
Dentro del libro
Resultados 1-5 de 9
Página 30
... changed , and then - to- , or proceed as in addition . ( 1. ) ( 2. ) ( 3. ) ( 4. ) ( 5. ) ( 6. ) ( 7. ) Min . 9 9 Sub . 9 6 Rem . 0 3 9316 9 9 9 9 3 6 - 9 12 15 18 In examples 1-7 , the minuend remaining the same while the subtrahend ...
... changed , and then - to- , or proceed as in addition . ( 1. ) ( 2. ) ( 3. ) ( 4. ) ( 5. ) ( 6. ) ( 7. ) Min . 9 9 Sub . 9 6 Rem . 0 3 9316 9 9 9 9 3 6 - 9 12 15 18 In examples 1-7 , the minuend remaining the same while the subtrahend ...
Página 39
... changed their order and united in one product the numerical coefficients . 2. Multiply a3 by a2 . As the exponent , if integral and positive , of a number shows how many times it is taken as a factor , and a3 = a xa xa a2 = a x a ... a3 ...
... changed their order and united in one product the numerical coefficients . 2. Multiply a3 by a2 . As the exponent , if integral and positive , of a number shows how many times it is taken as a factor , and a3 = a xa xa a2 = a x a ... a3 ...
Página 143
... changed . It follows from this that the signs of all the terms of an equation may be changed without destroying the equality ; for this is equivalent to transposing all the terms , and then making the right and left hand members change ...
... changed . It follows from this that the signs of all the terms of an equation may be changed without destroying the equality ; for this is equivalent to transposing all the terms , and then making the right and left hand members change ...
Página 146
... sign is before a fraction and the denominator is removed , as the dividing line has the same effect as a bracket , the sign of each term that was in the numerator must be changed . 2. Reduce 2 x х 5 3 Transposing 20 , 146 ALGEBRA .
... sign is before a fraction and the denominator is removed , as the dividing line has the same effect as a bracket , the sign of each term that was in the numerator must be changed . 2. Reduce 2 x х 5 3 Transposing 20 , 146 ALGEBRA .
Página 147
... changed ( + 10x ) and so the sign of each term of the numerator of the fraction must be changed when the denominator 6 is removed ; for ( † 5 x · 10 x ; X- 3 6 15 ) 5x + 15 . 3. Reduce x + 6 11 2 x 18 3 - 2x + 3 3x + 4 + - 51 + 12 12x + ...
... changed ( + 10x ) and so the sign of each term of the numerator of the fraction must be changed when the denominator 6 is removed ; for ( † 5 x · 10 x ; X- 3 6 15 ) 5x + 15 . 3. Reduce x + 6 11 2 x 18 3 - 2x + 3 3x + 4 + - 51 + 12 12x + ...
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Términos y frases comunes
9 a² a b c a² b² a² b³ a²b² a²x² algebraic expressions arithmetical progression b² c² binomial Binomial Theorem bracket cents coefficient cube root denominator digits divided dividend equal examples exponent figures Find the factors Find the greatest Find the number Find the square Find the sum Find the value following Rule geometrical progression given greatest common divisor Hence integral last term least common multiple less logarithm miles an hour mixed number monomial Multiply negative number number of hours number of terms polynomial positive number quadratic equation quotient radical ratio remainder second term simplest form Simplify square root subtracted Theorem Transposing trial divisor unknown number x y z x² y² x²y x³ y² yards
Pasajes populares
Página 53 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 317 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Página 317 - In a proportion the antecedents and consequents of the two ratios are respectively the antecedents and consequents of the proportion. The first and fourth terms are called the extremes, and the second and third the means.
Página 152 - The first term of a ratio is called the antecedent, and the other the consequent ; and the two terms together are called a couplet.
Página 228 - Multiply the true divisor by this neiv root figure, subtract the product from the dividend, and to the remainder annex the next period, for a new dividend.
Página 330 - Any three of the five following things being given, the other two may be found : 1. The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of all the terms.
Página 61 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Página 152 - Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 227 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend.
Página 250 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.